Given the function , find the equation of the function after reflecting it over the y-axis and then shifting it 3 units up. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of reflections and vertical shifts in polynomial functions.
Key Concept Explanation
Reflecting a function over the y-axis involves replacing with , resulting in . Vertical shifts are represented by , where a positive shifts the graph up and a negative shifts it down.
Step-by-step Solution
1. Reflect over the y-axis: Replace with in the function, resulting in
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